Theodore L. Einstein

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In island nucleation and growth, the distribution of capture zones (in essence proximity cells) can be described by a simple expression generalizing the Wigner surmise (power-law rise, Gaussian decay) from random matrix theory that accounts for spacing distributions in a host of fluctuation phenomena. Its single adjustable parameter, the power-law exponent,(More)
Using a van der Waals density functional vdW-DF Phys. Rev. Lett. 92, 246401 2004 , we perform ab initio calculations for the adsorption energy of benzene Bz on Cu 111 as a function of lateral position and height. We find that the vdW-DF inclusion of nonlocal correlations responsible for dispersive interactions changes the relative stability of eight(More)
Rajesh Sathiyanarayanan,1,2,* Ajmi BH. Hamouda,1,3,† A. Pimpinelli,1,4,‡ and T. L. Einstein1,§ 1Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA 2Department of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA 3Physics Department, Sciences Faculty of University of Monastir,(More)
Quantitative measurement of the equilibrium terrace-width distribution of vicinal surfaces enables detailed investigation of step–step interactions. Using results from random-matrix theory, we point out simple analytical expressions that assist in this process, improving considerably over standard techniques and allowing assessment of weak repulsions,(More)
Nanoscale confinement of adsorbed CO molecules in an anthraquinone network on Cu(111) with a pore size of ≈4  nm arranges the CO molecules in a shell structure that coincides with the distribution of substrate confined electronic states. Molecules occupy the states approximately in the sequence of rising electron energy. Despite the sixfold symmetry of the(More)
Single-layer graphene (SLG) supported on SiO(2) shows anomalously large chemical reactivity compared to thicker graphene, with charge inhomogeneity-induced potential fluctuations or topographic corrugations proposed as the cause. Here we systematically probe the oxidative reactivity of graphene supported on substrates with different surface roughnesses and(More)
We use a simple fragmentation model to describe the statistical behavior of the Voronoi cell patterns generated by a homogeneous and isotropic set of points in 1D and in 2D. In particular, we are interested in the distribution of sizes of these Voronoi cells. Our model is completely defined by two probability distributions in 1D and again in 2D, the(More)
In recent observations of Brownian motion of islands of adsorbed atoms and of vacancies with mean radius R, the cluster diffusion constant varies as R21 and R22. From an analytical Langevin description of the cluster’s steplike boundary, we find three cases, R21, R22, and R23, corresponding to the three microscopic surface mass-transport mechanisms of(More)